Answer:
The number of ways is 13,800 ways
Step-by-step explanation:
In this question, we are tasked with calculating the number of ways to form 3-digits codes from 25 different numbers given that no repetition is allowed.
Now, for the first digit, we have all the 25 numbers completely wanting to take a spot. Now, in how many ways can we choose a single out of 25, that would be 25 ways
Now, we have 24 numbers left, and we are trying to pick one, the number of ways this can be done is 24 ways also
for the last digit, we have 23 numbers and we are selecting just one, the number of ways this can be done is 23 ways too
Thus, the cumulative number of ways would be 25 * 24 * 23 = 13,800 ways
Answer:
360in cubed
Step-by-step explanation:
the formual for the volume is v=(L)(W)(H)
so you substitute the measurements into the formula, so you would have V=(6)(6)(10), now you can either solve this in the calculator or you can solve on paper and do 6 times 6, which equals 36, then multiply 36 by ten, and you will arrive at the answer 360in cubed
The sum of the first six terms of the geometric series is -364.
A geometric series is a sequence of terms in a fixed common ratio.
Apparently, the expression "geometric progression" comes from the "geometric mean" (Euclidean term) of segments of lengths a and b: it is the length of the side c of a square whose area is equal to the area of the rectangle. a and b. May
The series given is
2 – 6 + 18 – 54 + ...
The sum of n terms of a geometric series is given by
Sn=a1 * 1 - rn/1 - r
here the first term is 2
r = -6 /2 = -3
S = 2 (1-(-3)⁶)/(1-(-3))
S = -364
Therefore the sum of the First six terms of the geometric series is -364 .
Learn more about geometric series here:brainly.com/question/24643676
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